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19966976 = 210173137
BaseRepresentation
bin100110000101…
…0110000000000
31101120102112122
41030022300000
520102420401
61551543412
7331500521
oct114126000
941512478
1019966976
11102a8537
12682ab68
1341a13a3
14291a848
151b4621b
hex130ac00

19966976 has 88 divisors (see below), whose sum is σ = 44804736. Its totient is φ = 8847360.

The previous prime is 19966951. The next prime is 19967047. The reversal of 19966976 is 67966991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539630 + ... + 539666.

Almost surely, 219966976 is an apocalyptic number.

19966976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402368).

19966976 is an abundant number, since it is smaller than the sum of its proper divisors (24837760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19966976 is a wasteful number, since it uses less digits than its factorization.

19966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 53.

The square root of 19966976 is about 4468.4422341572. The cubic root of 19966976 is about 271.2922778077.

The spelling of 19966976 in words is "nineteen million, nine hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 31 32 34 37 62 64 68 74 124 128 136 148 248 256 272 296 496 512 527 544 592 629 992 1024 1054 1088 1147 1184 1258 1984 2108 2176 2294 2368 2516 3968 4216 4352 4588 4736 5032 7936 8432 8704 9176 9472 10064 15872 16864 17408 18352 18944 19499 20128 31744 33728 36704 37888 38998 40256 67456 73408 77996 80512 134912 146816 155992 161024 269824 293632 311984 322048 539648 587264 623968 644096 1174528 1247936 2495872 4991744 9983488 19966976